Reduce the expression to xor and or xnor

  • Thread starter leonne
  • Start date
  • Tags
    Expression
In summary, reducing an expression to xor and or xnor is a method of simplifying logical expressions for easier analysis. This can be achieved through De Morgan's laws and other logical equivalences. Xor, or, and xnor are different logical operators with distinct evaluation criteria. Some advantages of this reduction include simplifying complex expressions, error identification and correction, and improved efficiency. However, not all expressions can be reduced to xor and or xnor as some may require different operators.
  • #1
leonne
191
0

Homework Statement


Reduce the expression to one that just contains xor and/or xnor

Homework Equations


(A'B'C')+(A'BC)+(ABC')+(AB'C)

The Attempt at a Solution


C'(A'B'+AB)+C(A'B+AB')
C'(A[itex]\ominus[/itex]B)+C(A[itex]\oplus[/itex]B)
not really sure what to do next.Do the C' and C cancel each other out?
 
Last edited:
Physics news on Phys.org
  • #2
That looks like C' exclusive-ORed with A[itex]\oplus[/itex]B
but best to confirm your final answer with a truth table.
 

FAQ: Reduce the expression to xor and or xnor

1. What is the purpose of reducing an expression to xor and or xnor?

Reducing an expression to xor and or xnor is a way of simplifying a logical expression and making it easier to analyze and understand.

2. How is an expression reduced to xor and or xnor?

An expression can be reduced to xor and or xnor through the use of De Morgan's laws and other logical equivalences.

3. What is the difference between xor, or, and xnor?

Xor (exclusive or) is a logical operator that evaluates to true if and only if one of the operands is true. Or is a logical operator that evaluates to true if at least one of the operands is true. Xnor (exclusive nor) is a logical operator that evaluates to true if both operands are either both true or both false.

4. What are some advantages of reducing an expression to xor and or xnor?

Reducing an expression to xor and or xnor can help in simplifying complex logical expressions, identifying and correcting errors, and improving the efficiency of logical circuits.

5. Can an expression always be reduced to xor and or xnor?

No, not all expressions can be reduced to xor and or xnor. Some expressions may require different logical operators to be properly represented and analyzed.

Similar threads

Replies
4
Views
26K
Replies
4
Views
4K
Replies
2
Views
2K
Replies
4
Views
2K
Replies
4
Views
9K
Replies
4
Views
3K
Replies
5
Views
5K
Back
Top